Linear Spaces

List

Definition: A list of length n is an ordered collection of n scalars separated by commas and enclosed in square brackets.

x=(x1,x2,…,xn)\begin{align*} \mathbf{x} = (x_1, x_2, \ldots, x_n) \end{align*}

Since the list is defined with the length, each list is finite. The objects with infinite length are called not lists but sequences.

Many mathematicitians call a list of length n a n-tuple. A list of length 2 is called an ordered pair, a list of length 3 is called an ordered triple.

Lists are also called vectors.

#EE501 - Linear Systems Theory at METU